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Integration by parts: Edexcel A‑Level Maths questions

Edexcel A-Level Maths past-paper questions on 8.7 Integration by parts, 2010–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.

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1,254 questions

  1. Q13

    June 2025 · Pure 1

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  3. Q6

    June 2023 · Statistics

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  4. Q12

    June 2022 · Pure 1

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  5. Q11

    November 2021 · Pure 1

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  6. Q13

    June 2018 · Pure 2

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All 6 questions on Integration by parts, as a list
  1. June 2025, Pure 1, Q13 (5 marks): In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. Show that x x x ( ) 2 1 2 25 3 0 2 d (
  2. June 2024, Pure 2, Q11 (5 marks): O R C 1 x y Figure 5 In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. Figure 5
  3. June 2023, Statistics, Q6 (14 marks): A medical researcher is studying the number of hours, T, a patient stays in hospital following a particular operation. The histogram on the page opposite summar
  4. June 2022, Pure 1, Q12 (5 marks): In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. Show that x x x a b 3 8 1 2 ln d e e w
  5. November 2021, Pure 1, Q11 (8 marks): y R O x 2 4 Figure 2 Figure 2 shows a sketch of part of the curve with equation y = (ln x) 2 x > 0 The finite region R, shown shaded in Figure 2, is bounded by
  6. June 2018, Pure 2, Q13 (10 marks): y x O R C P(e, e) l Figure 2 Figure 2 shows a sketch of part of the curve C with equation y = x ln x, x > 0 The line l is the normal to C at the point P(e, e) T

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